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138855185713377 = 3572891031272133
BaseRepresentation
bin11111100100100110111110…
…000001010000100011100001
3200012122102111122012010200000
4133210212332001100203201
5121200000410020312002
61211153105223450213
741150645642305500
oct3744467601204341
9605572448163600
10138855185713377
114027517642a441
12136a70948b6969
135c62cac348883
1426408ac0d8837
15110be1e58361c
hex7e49be0508e1

138855185713377 has 144 divisors (see below), whose sum is σ = 247050051131520. Its totient is φ = 77692541084928.

The previous prime is 138855185713369. The next prime is 138855185713457. The reversal of 138855185713377 is 773317581558831.

138855185713377 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 5 + 5 + 18 + 571 + 3 + 37 + 7 = 666.

It is not a de Polignac number, because 138855185713377 - 23 = 138855185713369 is a prime.

It is a super-2 number, since 2×1388551857133772 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138855185713367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108515403 + ... + 109787535.

It is an arithmetic number, because the mean of its divisors is an integer number (1715625355080).

Almost surely, 2138855185713377 is an apocalyptic number.

It is an amenable number.

138855185713377 is a deficient number, since it is larger than the sum of its proper divisors (108194865418143).

138855185713377 is a wasteful number, since it uses less digits than its factorization.

138855185713377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272354 (or 1272335 counting only the distinct ones).

The product of its digits is 592704000, while the sum is 72.

The spelling of 138855185713377 in words is "one hundred thirty-eight trillion, eight hundred fifty-five billion, one hundred eighty-five million, seven hundred thirteen thousand, three hundred seventy-seven".

Divisors: 1 3 7 9 21 27 49 63 81 89 103 147 189 243 267 309 441 567 623 721 801 927 1323 1701 1869 2163 2403 2781 3969 4361 5047 5607 6489 7209 8343 9167 11907 13083 15141 16821 19467 21627 25029 27501 39249 45423 50463 58401 64169 82503 117747 136269 151389 175203 192507 247509 353241 408807 449183 577521 742527 1059723 1226421 1272133 1347549 1732563 2227581 3816399 4042647 5197689 8904931 11449197 12127941 15593067 26714793 34347591 36383823 62334517 80144379 103042773 109151469 113219837 131029699 187003551 240433137 309128319 339659511 393089097 561010653 721299411 792538859 917207893 1018978533 1179267291 1683031959 2163898233 2377616577 2751623679 3056935599 3537801873 5049095877 5547772013 6420455251 7132849731 8254871037 9170806797 10613405619 11661643211 15147287631 16643316039 19261365753 21398549193 24764613111 27512420391 31840216857 34984929633 49929948117 57784097259 64195647579 74293839333 81631502477 104954788899 149789844351 173352291777 192586942737 222881517999 244894507431 314864366697 449369533053 520056875331 571420517339 734683522293 944593100091 1348108599159 1560170625993 1714261552017 2204050566879 2833779300273 5142784656051 6612151700637 15428353968153 19836455101911 46285061904459 138855185713377